This thread is for questions that don't deserve their own thread.
Tips!
>give context
>describe your thought process if you're stuck
>try wolframalpha.com and stackexchange.com
>How To Ask Questions The Smart Way catb.org
>come up with a clever name for this Neanderthal
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is applied science a respected field, specifically, Forensics or is it a waste of time?
>NeandertrednaeN
I must prove that the linear operator [math]A:H^4(\mathbb{R};\mathbb{R})\to L^2(\mathbb{R};\mathbb{R}) [/math] defined by [math]u\mapsto −(1−\partial_{xx}^2)^2u [/math] generates a [math]C_0 [/math]-semigroup on [math]L^2 [/math].
I believe that we also got hinted that Fourier transforms are needed here, so I found [math]F(Au)(\omega)=F((-1+2\partial_{xx}^2-\partial_{xxxx}^4)u)(\omega)=(-1-2\omega^2-\omega^4)F(u)(\omega)
=-(\omega^2+1)^2F(u)(\omega) [/math], but I have no idea how to apply any generation theorem like Hille-Yosida or Lumer–Phillips now.
Could anybody give a verbal outline of the proof so that I can understand what should happen here?
What were the best and worst sci memes of 2017?
Best meme ever is trolley problem and worst in the red eyed guy
worst meme ever is the wotjak mini brain flood
Zenos paradox of achilles' race provided results which he ignored to instead imply infinite work sums on arbitrary numbers can produce finite results via convergence.
Zeno was smartstupid and was a paradox himself.
The way I see it, determining a black hole's size or diameter seems impossible. At any distance greater than the event horizon, light from the sides of the black body and even behind the POV gazing towards the hole would be bent and refracted back towards the POV. The POV wouldn't witness the iconic artistic impression of a black silhouette circle when the focal location of the black hole is refracting surrounding light towards the observer, but may be able to detect the warping refracting properties usually associated with those artist mock-ups. Only once the POV has passed the event horizon would such an artistic impression begin to be a possible view, but that would also imply more questions with less answers to even validate if it actually visually identifies as a "hole that is black" or if the POV would just be destroyed immediately before even being abled to acknowledge any determinable surface features, even if only a silhouette. The black hole, instead of being a hole, is more like a taughtly pinched table cloth pulled from the center of the table. The cloth, the fabric of spacetime, meets at a singular stretched area between the finger tips. Unlike the cloth though, the black hole's spacetime pinch would stretch into another dimension or even infinity, as if to cover the pinching fingers of the tablecloth with another cloth so to not be able to determine just how much tablecloth has been pulled into the pinch.
tl;dr if you see a "hole" its already too late.
Black holes have not been shown to exist in reality.
>wtf dense objects dont exist